On the norm of products of polynomials on ultraproducts of Banach spaces
The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces (Xi)U. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/39695 |
| Acceso en línea: | http://hdl.handle.net/11336/39695 |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomials Banach Spaces Norm Inequalities Ultraproducts https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces (Xi)U. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi. |
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